As discussed in the introduction, the mass of \(\Upsilon _J(1D)\)  has not been measured except for \(\Upsilon _2(1D)\) , which is \(10.164 \mathrm {GeV}\)  [1]}. In the present work, we take the masses of \(\Upsilon _1(1D)\)  and \(\Upsilon _3(1D)\)  as those predicted by the potential model in Ref. [2]} , which are \(10.153 \mathrm {GeV}\)  and [1]} and \(10.174 \mathrm {GeV}\) , respectively.
